Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: speed of a vehicle along a stretch of I-10 (mph)
This variable has a normal distribution with mean μ= 81 mph and a standard deviation σ= 8 mph.
The speed limit in the said stretch is 65 mph.
You need to calculate the probability of picking a car at random and its speed be at most 65 mph, symbolically:
P(X≤65)
To reach the probability, you need to use the standard normal distribution. To standardize the value fo X you have to subtract the value of μ and then divide it by σ:
P(Z≤(65-81)/8)= P(Z≤-2.00)
Now you look for the corresponding probability in the table of the standard normal distribution, since the value is negative you have to use the left entry. The integer and first decimal numbers are in the first column and the second decimal number is in the first row.
P(Z≤-2.00)= 0.0228
I hope it helps!
Answer:
l = 15 feet
Step-by-step explanation:
l = 2w + 3
First you solve for the width(w)
(2w+15) (w-6) = 0
This means
2w+15=0 OR. w-6=0
First let’s solve 2w+15=0
2w = -15
w = -7.5
Width can’t be negative so that can’t be the answer. So we look at the second equation w-6=0
w= 6
Since we found the width now we can find the length by using the formula l = 2w + 3
= 2(6) + 3
= 12 + 3
= 15 feet
You can check this by using the given area which is 90.
A = lw = 15*6 = 90
Step-by-step explanation:
so we're making two draws *with* replacement (this is important)
step 1: for the first draw, it wants the probability of getting a sour candy. to calculate this:
(# of sour candy) / (total # of candy)
step 2: for the second draw, it wants the probability of *not* getting a sour candy. to calculate this, you can calculate 1 - (the probability form part 1).
step 3: to find the probability of both events happening together, simply multiply the probabilities from part 1 and 2 together
side note: for step 2, you can only do this because the candy is being replaced. if there were no replacement, you'd have to re-calculate (# of non-sour candies) / (total after the first candy is drawn)
Divide 56/14=4. That means that there are 4 14ns since you will get 2 for every 14 cones. Thay means that you will get 8 cones for free.
Answer:
The anwser would be 51 i think
Step-by-step explanation:
if im right ls makr brainliest